A general dynamic model of a cross-flow dryer is developed from fundamental balance equations. Six dimensionless groups that govern the process are defined, and the resulting dimensionless equations are solved with the Method of Lines, using the Advanced Continuous Simulation Language (ACSL) software package. The mesh influence on the numerical solution is investigated. Stiffness analysis is performed for the system of partial differential equations, and the assumption of quasi-steady state for the air is discussed. Application of the model to rice-drying experiments shows good agreement. The results underline the potential of the model and the numerical solution strategy needed for critical physical insight into the operation of cross-flow rice dryers.